Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity

DOI10.1137/060669759zbMath1173.41008OpenAlexW2030362796MaRDI QIDQ3395092

Philipp Grohs

Publication date: 20 August 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060669759

zbMATH Keywords

smoothnesslazy waveletsnonlinear subdivision schemesmultivariate subdivisionlinear subdivision schemes

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Continuity and differentiation questions (26B05) Local Riemannian geometry (53B20)

Related Items (18)

Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds ⋮ Approximation order of interpolatory nonlinear subdivision schemes ⋮ Stability of manifold-valued subdivision schemes and multiscale transformations ⋮ Definability and stability of multiscale decompositions for manifold-valued data ⋮ Hölder regularity of geometric subdivision schemes ⋮ Wavelet Sparse Regularization for Manifold-Valued Data ⋮ Old problems and new challenges in subdivision ⋮ Subdivision schemes with general dilation in the geometric and nonlinear setting ⋮ Analysis of some bivariate non-linear interpolatory subdivision schemes ⋮ Non-smooth Variational Regularization for Processing Manifold-Valued Data ⋮ Geometric Subdivision and Multiscale Transforms ⋮ Convergence of geometric subdivision schemes ⋮ Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Nonlinear subdivision schemes on irregular meshes ⋮ Stability of nonlinear subdivision and multiscale transforms ⋮ Interpolatory wavelets for manifold-valued data ⋮ Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions

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